A note on the nonuniqueness of the Boussinesq-Galerkin solution in elastic theory

作者：Gao Yang^*; Zhao Bao Sheng

来源：International Journal of Solids and Structures, 2007, 44(5): 1685-1689.

DOI：10.1016/j.ijsolstr.2006.06.024

• the Boussinesq-Galerkin solution
• the nonuniqueness
• Navier's equations

Based on the two new theorems, the nominiqueness of the Boussinesq-Galerkin solution is studied, and then the scope of the nonuniqueness is discussed. In previous works of Cheng, and Barrett and Ellis, they claimed that the Boussinesq Galerkin solution is nonunique, through using some assumptions to simplify the expressions of displacement functions. However, it should be pointed out that these authors did not provide convincing arguments to support their assumptions. In present work, we give a rigorous reasoning process to show the nontiniqueness of the Boussinesq-Galerkin solution, and then discuss the validity of the assumptions of Cheng, and Barrett and Ellis.

• 出版日期2007-3-1
• 单位中国农业大学